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Finding the Fourth Proportional to 138,681.16, 191,369.11 and 78,266.50

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Solution

The fourth proportional to 138,681.16, 191,369.11 and 78,266.50 is: 108,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681.16 : 191,369.11 = 78,266.50 : x
  2. Step 2: Convert to fraction form
    138,681.16/191,369.11 = 78,266.50/x
  3. Step 3: Cross multiply
    138,681.16x = 191,369.11 × 78,266.50
  4. Step 4: Simplify right side
    138,681.16x = 14,977,790,447.82
  5. Step 5: Solve for x
    x = 14,977,790,447.82/138,681.16
  6. Step 6: Final answer
    x = 108,001.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.